TY  - JOUR
TI  - ON SUBFLAT DOMAINS OF RD-FLAT MODULES
AB  - The concept of subflat domain is used to measure how close (or far away) a module is to be flat. A right module is flat if its subflat domain is the entire class of left modules. In this note, we focus on of RD-flat modules that have subflat domain which is exactly the collection of all torsion-free modules, shortly tf-test modules. Properties of subflat domains and of tf-test modules are studied. New characterizations of left P-coherent rings and torsion-free rings by subflat domains of cyclically presented left $R$-modules are obtained.
AU  - Bozkurt, Mücahit
AU  - DURĞUN, YILMAZ
DO  - 10.31801/cfsuasmas.1229943
PY  - 2023
JO  - Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
VL  - 72
IS  - 3
SN  - 1303-5991
SP  - 563
EP  - 569
DB  - TRDizin
UR  - http://search/yayin/detay/1199605
ER  -